Quantitative strong unique continuation for the Schrödinger operator with unbounded potential

Abstract

We revisit \cite[Theorem 6.3]{JK}. By following the main ideas used to prove that theorem, we establish a quantitative version of strong unique continuation for the Schrödinger operator with an unbounded potential. We also show that combining this result with a global quantitative unique continuation from arbitrary interior data yields a global quantitative strong unique continuation.